Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
7x+17
Step-by-step explanation:
(3x-5) +(4x+12)
I like to line them up vertically
(3x-5)
+(4x+12)
----------------
7x+17
Answer:
x(x+2)(x-2)(x+1)(x-1)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula,]a^{2} - b^{2} = (a+b)(a-b), where a = x and b = 2.